Eisenstat, Stanley C.; Walker, Homer F. Globally convergent inexact Newton methods. (English) Zbl 0814.65049 SIAM J. Optim. 4, No. 2, 393-422 (1994). Inexact Newton methods are formulated that incorporate features designed to improve convergence from arbitrary starting points. For each method, a basic global convergence result is established to the effect that, under reasonable assumption, if a sequence of iterates has a limit point at which \(F'\) is invertible, then that limit point is a solution and a sequence converges to it. Reviewer: I.N.Molchanov (Kiev) Cited in 1 ReviewCited in 187 Documents MSC: 65H10 Numerical computation of solutions to systems of equations Keywords:inexact Newton methods; global convergence PDFBibTeX XMLCite \textit{S. C. Eisenstat} and \textit{H. F. Walker}, SIAM J. Optim. 4, No. 2, 393--422 (1994; Zbl 0814.65049) Full Text: DOI